Biography
I am currently a Senior Lecturer in the School of Computer Science and Mathematics at Keele University. I received my PhD in Applied Mathematics from the University of Delaware, U.S.A.,in 2000. My PhD research was in thin-film fluid dynamics in the drainage of foams (supervisor: Dr. Richard Braun). My professional experience includes a Welcome Trust supported postdoctoral position in the Center for Mathematical Medicine at the University of Nottingham (2001-2004) and lectureships held at the Worcester Polytechnic Institute (2000-2001), Heriot-Watt University (2004-2006) and the University of Nottingham (2006).
Research and scholarship
My research interests lie in continuum mechanics of problems related to industry, biology and physiology, and specifically, problems involving strong fluid-structure interaction and free boundaries. I am interested in mathematical modelling and in using asymptotic and numerical techniques to solve these problems. I have investigated problems in pulmonary mechanics involving lung airway reopening, cough manoeuvres and mucus transport, surfactant effects in thin-film fluid dynamics such as in drop spreading and foam drainage.
I am currently involved in the mathematical modelling of in vitro/in vivo tissue engineering with researchers at the Institute of Science and Technology at Keele and the Robert Jones and Agnes Hunt Orthopaedic hospital in Oswestry. Projects related to this have been internally funded by the 3ME- Bridging the Gaps initiative between EPSAM and ISTM.
I currently supervise 3 PhD students:
- Ghanim Algwauish (4th year) - Modelling the viscoplastic behaviour of lava domes and their evolution using mathematical and numerical methods.
- Kelly Campbell (3rd year; jointly with Dr Jan-Herman Kuiper from ISTM and RJAH Hospital) - Mathematical modelling of cartilage and osteo-chondral regeneration using cell therapy.
- Hani Alahmadi (2nd year) - Gravity-driven drainage in thin viscous non-Newtonian and non-isothermal free surface flows.
Past PhD students:
- Joe Goddard (2014) - Fingering instabilities in gravity and surfactant-related thin film flows.
- Abdulghani Alharbi (2016) - Numerical solution of thin-film flow equations using adaptive moving mesh methods.
Teaching
- MAT-20008: Differential Equations
- MAT-20016: Mathematical Modelling
Selected Publications
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Non-Newtonian and viscoplastic models of a vertically aligned thick liquid film draining due to gravity. PHYSICS OF FLUIDS, Article ARTN 012113, vol. 34(1). link> doi> full text>2022.
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Non-Newtonian and viscoplastic models of a vertically aligned thick liquid film draining due to gravity. PHYSICS OF FLUIDS, Article ARTN 012113, vol. 34(1). link> doi> full text>2022.
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Proceedings of International Conference on Biomedical Engineering. Journal of Physics : Conference Series (vol. 2071). Institute of Physics (IoP). doi> link> full text>2021.
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An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 219-230, vol. 356. link> doi> full text>2019.
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A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors. Journal of Tissue Engineering, vol. 10. doi> link> full text>2019.
Full Publications Listshow
Journal Articles
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Non-Newtonian and viscoplastic models of a vertically aligned thick liquid film draining due to gravity. PHYSICS OF FLUIDS, Article ARTN 012113, vol. 34(1). link> doi> full text>2022.
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Non-Newtonian and viscoplastic models of a vertically aligned thick liquid film draining due to gravity. PHYSICS OF FLUIDS, Article ARTN 012113, vol. 34(1). link> doi> full text>2022.
-
An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 219-230, vol. 356. link> doi> full text>2019.
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A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors. Journal of Tissue Engineering, vol. 10. doi> link> full text>2019.
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A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation. Journal of Tissue Engineering, vol. 10. doi> link> full text>2019.
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An adaptive moving mesh method for thin film flow equations with surface tension. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 365-384, vol. 319. link> doi> full text>2017.
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In vitro experiments of cerebral blood flow during aspiration thrombectomy: potential effects on cerebral perfusion pressure and collateral flow. J Neurointerv Surg, 969-972, vol. 8(9). link> doi> full text>2016.
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The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate. JOURNAL OF FLUID MECHANICS, 535-568, vol. 772. link> doi> full text>2015.
- 2013.
- 2012.
- 2011.
- 2009.
- 2009.
- 2007.
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The spreading and stability of a surfactant-laden drop on a pre-wetted substrate. Journal of Fluid Mechanics, 5-24, vol. 554. doi>2006.
- 2005.
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Unsteady bubble propagation in a flexible channel: predictions of a viscous stick-slip instability. Journal of Fluid Mechanics, 53-86, vol. 528. doi>2005.
- 2004.
- 2003.
- 2002.
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Models for gravitationally-driven free-film drainage. Journal of Engineering Mathematics, 281-314, vol. 43. doi>2002.
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An insoluble surfactant model for a vertical draining free film with variable surface viscosity. Physics of Fluids, 2492-2502, vol. 13(9). doi>2001.
- 2000.
- 2000.
Chapters
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Modelling the stabilizing behavior of silicone surfactants during the process of polyurethane foam: The use of thin liquid films. In Advances in Urethane Technology. Shawsbury UK: Rapra Technology LTD.2001.
Other
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Proceedings of International Conference on Biomedical Engineering. Journal of Physics : Conference Series (vol. 2071). Institute of Physics (IoP). doi> link> full text>2021.
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Characterisation and optimisation of the GP Thrombus Aspiration Device for the treatment of acute ischaemic stroke. CEREBROVASCULAR DISEASES (p. 345, vol. 37). link>2014.
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Gravitationally-driven drainage of thin films.2000.
Admin roles
I am currently the Postgraduate Research Director of the Faculty of Natural Sciences.
Research themes
- Fluid Dynamics and Acoustics
- Biomechanics and Biomedical Engineering
School of Computer Science and Mathematics
Keele University
Staffordshire
ST5 5AA
Email: scm.admin@keele.ac.uk
Tel:+44 (0) 1782 731830